Two simple harmonic motion, are represented by the equations y_1=10 sin (3 π t+(π)/3); y_2=5( sin 3 π t+√ 3 cos 3 π t) Ratio of amplitude of y_1 to…

Two simple harmonic motion, are represented by the equations $$\begin{aligned} & y_1=10 \sin \left(3 \pi t+\frac{\pi}{3}\right) \\ & y_2=5(\sin 3 \pi t+\sqrt{3} \cos 3 \pi t) \end{aligned} $$ Ratio of amplitude of $\displaystyle y_1$ to $\displaystyle y_2=x: 1$. The value of $\displaystyle x$ is \_\_\_\_.